Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650u |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1245478245440000000 = 212 · 57 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11- 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-627750,183492500] |
[a1,a2,a3,a4,a6] |
Generators |
[-709:16871:1] |
Generators of the group modulo torsion |
j |
988345570681/44994560 |
j-invariant |
L |
4.8802152270003 |
L(r)(E,1)/r! |
Ω |
0.26968493333136 |
Real period |
R |
3.0159979430445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730y3 650j3 |
Quadratic twists by: 5 -11 |